Preheat your grill on medium-high heat, about 400°F. Clean and oil the grill grates.
In a large bowl, combine the ground turkey, feta, zucchini, dill, green onions, garlic, salt, and pepper. Use your hands to mix everything together until evenly combined.
Form the mixture into 4 patties, flattening them down to roughly 4-inch disks. Poke a small indentation in the middle of each with the tip of your finger. Place on a small sheet pan or plate and lightly oil both sides of the patties.
Place the patties on the grill, close the lid and cook for 6 to 8 minutes. Using a spatula, flip the patties and cook, covered, for another 4 to 6 minutes or until cooked through and the internal temperature reads 160°F. Remove from the grill and let rest for 3 to 5 minutes; the residual heat will continue to cook the burgers until they reach 165°F.
To assemble, place a burger on the bottom of a bun and top with a scoop of hummus and a handful of greens. Cover with the top buns and serve.